Conditions to Extend Partial Latin Rectangles
Combinatorics
2011-08-10 v1
Abstract
In 1974 Allan Cruse provided necessary and sufficient conditions to extend an partial latin rectangle consisting of distinct symbols to a latin square of order . Here we provide some generalizations and consequences of this result. Our results are obtained via an alternative proof of Cruse's theorem.
Cite
@article{arxiv.1108.1913,
title = {Conditions to Extend Partial Latin Rectangles},
author = {Serge C. Ballif},
journal= {arXiv preprint arXiv:1108.1913},
year = {2011}
}
Comments
15 pages